%%
%% yangMills.tex
%% 
%% Made by Alex Nelson
%% Login   <alex@tomato>
%% 
%% Started on  Fri Sep 18 11:33:33 2009 Alex Nelson
%% Last update Fri Sep 18 11:33:33 2009 Alex Nelson
%%
%% TODO:
% * need to reperform the Poisson Bracket of the Gauss Constraint with the Hamiltonian
% * need to start expanding some more on the general Yang-Mills situation
\documentclass{article}
\usepackage{notebk,exercises}


\newcommand{\ssn}[1]{\medbreak\refstepcounter{subsection}\addcontentsline{toc}{subsection}{\thesubsection~#1}\noindent\ignorespaces\textbf{\thesubsection~#1.}~}

\hypersetup{pdftitle={Notes on the Yang Mills Theory},
            pdfauthor={Alex Nelson},
            pdfcreator={Alex Nelson},
            pdfsubject={File Systems},
            unicode={false}}
\title{Notes on the Yang Mills Theory}
\date{September 18, 2009}
\begin{document}
\maketitle
\begin{abstract}
We review classical electromagnetism in relativity. We consider
generalizing the notion to ``general gauge groups'' which is
precisely Yang-Mills theory. We will consider everything in the
classical domain, quantization is not discussed.
\end{abstract}
\tableofcontents

\section{From Maxwell to Tensors}
\input{tex/em}
\pagebreak
\section{General Gauge Group: Introducing the Yang-Mills Theory}
\input{tex/rules}
\pagebreak
\section{Answers to Selected Exercises}
\dumpanswers
\pagebreak
\nocite{*}
\bibliographystyle{utcaps}\addcontentsline{toc}{section}{References}
\bibliography{yangMills}
\end{document}
